{
  "id": "1107.2549",
  "version": "v2",
  "published": "2011-07-13T13:39:02.000Z",
  "updated": "2011-07-18T18:20:32.000Z",
  "title": "A Fourier-Mukai Approach to the Enumerative Geometry of Principally Polarized Abelian Surfaces",
  "authors": [
    "Antony Maciocia"
  ],
  "comment": "21 pages with appendix, typos fixed",
  "journal": "Math. Nachr. 285(16) (2012) 1981-1998",
  "doi": "10.1002/mana201100182",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study twisted ideal sheaves of small length on an irreducible principally polarized abelian surface (T,l). Using Fourier-Mukai techniques we associate certain jumping schemes to such sheaves and completely classify such loci. We give examples of applications to the enumerative geometry of T and show that no smooth genus 5 curve on such a surface can contain a g^1_3. We also describe explicitly the singular divisors in the linear system |2l|.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-07-18T18:20:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F05",
      "14N10",
      "14N20",
      "14J60",
      "14D20",
      "14K30",
      "14C20"
    ],
    "keywords": [
      "enumerative geometry",
      "fourier-mukai approach",
      "study twisted ideal sheaves",
      "smooth genus",
      "fourier-mukai techniques"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.2549M"
    }
  }
}